M6 908 021 Mersenne number exponent details

≡

is 2 ^6908021 - 1

has 2079522 decimal digits

takes 1.506 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	4.3014	65.6716%	-	-	-	-	4.3014	65.6716%
Target	2⁶⁷	4.3014	65.6716%	45000	900000	0.0290	2.2356%	4.3303	66.4391%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2356%	-0.0290	-0.7675%

Known prime factors (1 factor, 55.4 bits, 0.00080204% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6908021	47714293976258473	17	55.405	3453542916 2² × 3 × 5279 × 54517	1998-07-05	5279	54517	0.0008	0.0025	0.0034

P-1 results:
No P-1 results for M6908021

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-05	ANONYMOUS	v4_computers	?	?	47714293976258473	55.405	17	7.76010e-5	7.342	0.000

ECM factoring results:
No ECM results for M6908021

Lucas-Lehmer results:
No L-L results for M6908021

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-22

Oliver Kruse

GTX-2

47714293976258473

D2D6AD765657AF__

no

2019-01-29

arnaud

stm-11-010

47714293976258473

D2D6AD765657AF4D

no

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

10²

10³

10⁴

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2023-04-26T21:34:10+00:00